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// (C) Copyright John Maddock 2006.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#include <pch_light.hpp>
#include"test_ibeta_inv.hpp"
#if !defined(TEST_FLOAT) && !defined(TEST_DOUBLE) && !defined(TEST_LDOUBLE) && !defined(TEST_REAL_CONCEPT)
# define TEST_FLOAT
# define TEST_DOUBLE
# define TEST_LDOUBLE
# define TEST_REAL_CONCEPT
#endif
//
// DESCRIPTION:
// ~~~~~~~~~~~~
//
// This file tests the incomplete beta function inverses
// ibeta_inv and ibetac_inv. There are three sets of tests:
// 1) Spot tests which compare our results with selected values
// computed using the online special function calculator at
// functions.wolfram.com,
// 2) TODO!!!! Accuracy tests use values generated with NTL::RR at
// 1000-bit precision and our generic versions of these functions.
// 3) Round trip sanity checks, use the test data for the forward
// functions, and verify that we can get (approximately) back
// where we started.
//
// Note that when this file is first run on a new platform many of
// these tests will fail: the default accuracy is 1 epsilon which
// is too tight for most platforms. In this situation you will
// need to cast a human eye over the error rates reported and make
// a judgement as to whether they are acceptable. Either way please
// report the results to the Boost mailing list. Acceptable rates of
// error are marked up below as a series of regular expressions that
// identify the compiler/stdlib/platform/data-type/test-data/test-function
// along with the maximum expected peek and RMS mean errors for that
// test.
//
void expected_results()
{
//
// Define the max and mean errors expected for
// various compilers and platforms.
//
// Note that permitted max errors are really pretty high
// at around 10000eps. The reason for this is that even
// if the forward function is off by 1eps, it's enough to
// throw out the inverse by ~7000eps. In other words the
// forward function may flatline, so that many x-values
// all map to about the same p. Trying to invert in this
// region is almost futile.
//
const char* largest_type;
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
if(boost::math::policies::digits<double, boost::math::policies::policy<> >() == boost::math::policies::digits<long double, boost::math::policies::policy<> >())
{
largest_type = "(long\\s+)?double";
}
else
{
largest_type = "long double";
}
#else
largest_type = "(long\\s+)?double";
#endif
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
//
// Linux etc,
// Extended exponent range of long double
// causes more extreme test cases to be executed:
//
if(std::numeric_limits<long double>::digits == 64)
{
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"double", // test type(s)
".*", // test data group
".*", 20, 10); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"long double", // test type(s)
".*", // test data group
".*", 200000, 100000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"real_concept", // test type(s)
".*", // test data group
".*", 5000000L, 500000); // test function
}
#endif
//
// MinGW,
// Extended exponent range of long double
// causes more extreme test cases to be executed:
//
add_expected_result(
"GNU.*", // compiler
".*", // stdlib
"Win32.*", // platform
"double", // test type(s)
".*", // test data group
".*", 10, 10); // test function
add_expected_result(
"GNU.*", // compiler
".*", // stdlib
"Win32.*", // platform
largest_type, // test type(s)
".*", // test data group
".*", 300000, 20000); // test function
//
// HP-UX and Solaris:
// Extended exponent range of long double
// causes more extreme test cases to be executed:
//
add_expected_result(
".*", // compiler
".*", // stdlib
"HP-UX|Sun Solaris", // platform
"long double", // test type(s)
".*", // test data group
".*", 200000, 100000); // test function
//
// HP Tru64:
// Extended exponent range of long double
// causes more extreme test cases to be executed:
//
add_expected_result(
"HP Tru64.*", // compiler
".*", // stdlib
".*", // platform
"long double", // test type(s)
".*", // test data group
".*", 200000, 100000); // test function
//
// Catch all cases come last:
//
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
largest_type, // test type(s)
".*", // test data group
".*", 10000, 1000); // test function
add_expected_result(
".*", // compiler
".*", // stdlib
".*", // platform
"real_concept", // test type(s)
".*", // test data group
".*", 500000, 500000); // test function
//
// Finish off by printing out the compiler/stdlib/platform names,
// we do this to make it easier to mark up expected error rates.
//
std::cout << "Tests run with " << BOOST_COMPILER << ", "
<< BOOST_STDLIB << ", " << BOOST_PLATFORM << std::endl;
}
BOOST_AUTO_TEST_CASE( test_main )
{
BOOST_MATH_CONTROL_FP;
expected_results();
#ifdef TEST_GSL
gsl_set_error_handler_off();
#endif
#ifdef TEST_FLOAT
test_spots(0.0F);
#endif
#ifdef TEST_DOUBLE
test_spots(0.0);
#endif
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
#ifdef TEST_LDOUBLE
test_spots(0.0L);
#endif
#ifdef TEST_REAL_CONCEPT
test_spots(boost::math::concepts::real_concept(0.1));
#endif
#endif
#ifdef TEST_FLOAT
test_beta(0.1F, "float");
#endif
#ifdef TEST_DOUBLE
test_beta(0.1, "double");
#endif
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
#ifdef TEST_LDOUBLE
test_beta(0.1L, "long double");
#endif
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
#ifdef TEST_REAL_CONCEPT
test_beta(boost::math::concepts::real_concept(0.1), "real_concept");
#endif
#endif
#else
std::cout << "<note>The long double tests have been disabled on this platform "
"either because the long double overloads of the usual math functions are "
"not available at all, or because they are too inaccurate for these tests "
"to pass.</note>" << std::endl;
#endif
}
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